What is the Greatest Common Factor of 35552 and 35563?

Greatest common factor (GCF) of 35552 and 35563 is 11.

GCF(35552,35563) = 11

We will now calculate the prime factors of 35552 and 35563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35552 and 35563.

How to find the GCF of 35552 and 35563?

We will first find the prime factorization of 35552 and 35563. After we will calculate the factors of 35552 and 35563 and find the biggest common factor number .

Step-1: Prime Factorization of 35552

Prime factors of 35552 are 2, 11, 101. Prime factorization of 35552 in exponential form is:

35552 = 2⁵ × 11¹ × 101¹

Step-2: Prime Factorization of 35563

Prime factors of 35563 are 11, 53, 61. Prime factorization of 35563 in exponential form is:

35563 = 11¹ × 53¹ × 61¹

Step-3: Factors of 35552

List of positive integer factors of 35552 that divides 35552 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 101, 176, 202, 352, 404, 808, 1111, 1616, 2222, 3232, 4444, 8888, 17776

Step-4: Factors of 35563

List of positive integer factors of 35563 that divides 35552 without a remainder.

1, 11, 53, 61, 583, 671, 3233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35552 and 35563. The biggest common factor number is the GCF number.
So the greatest common factor 35552 and 35563 is 11.

Also check out the Least Common Multiple of 35552 and 35563